Algebra
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Practice Set 1: Multiple Choice
1.    If 3(x – 6) = 24, what is the value of (x – 6)2?
(A) 8
(B) 14
(C) 30
(D) 64
(E) 196
2.    If 12 + 5x > –7x – 24, what must be true of x?
(A) x < –3
(B)
(C) x > –3
(D)
(E) x > 3
3.    What is the value of , when ?
(A) 48
(B) 60
(C) 96
(D) 120
(E) 144
4.    A retail outlet is having a clearance sale on all the shoes in its inventory over a period of four days. On the first day it sells 1/4 of its inventory, on the second day it sells 1/2 of the remaining inventory, and on the third day it sells 1/6 of the remainder. What fraction of the original inventory is left for the last day of the sale?
(A) 1/12
(B) 1/10
(C) 1/8
(D) 5/16
(E) 5/8
5.    Which of the following lines accurately depicts the function ?
(A) line A
(B) line B
(C) line C
(D) line D
(E) line E
6.    If is a positive, even integer, which of the following could be true?
  I. n and p are negative integers
 II. n and p are integers; n is an odd integer
III. n = p
(A) I only
(B) II only
(C) III only
(D) II and III
(E) I, II, and III
7.    If r is twice the value of p and p is 8 less than s, then in terms of p, what is the value of r + s?
(A) 2(p + 8)
(B) 3p – 8
(C) p + 8
(D) 3p + 8
(E)
8.    If x + y = 8 and x – y = 2, what is the value of the following expression?

(A) 0
(B)
(C) 1
(D) 2
(E) 4
9.    Train A leaves Romeoville at 8:00 a.m., traveling at 55 mph toward Julietteville. Train B leaves Julietteville at the same time, heading toward Romeoville at 35 mph. If the distance between the two towns is 337.5 miles, what time do the two trains pass each other?
(A) 11: 52 a.m.
(B) 11: 45 a.m.
(C) 11: 32 a.m.
(D) 11: 15 a.m.
(E) 11: 04 a.m.
10.    Look at the following graph to answer the question below.

Which of the following activities best describes what occurred during time segments A and B, respectively?
(A) eating lunch and playing racquetball
(B) having a light nap and taking a brisk walk
(C) having a snack and eating a sandwich
(D) driving in a car and taking a slow walk
(E) jogging 4 miles and biking 12 miles
11.    Holly goes to the store to buy peanut butter and jelly for a school picnic. Peanut butter costs $4 a jar, and jelly costs $2 a jar. If Holly spends a total of $28 and buys a total of 8 jars, how many jars of peanut butter did she buy?
(A) 12
(B) 8
(C) 7
(D) 6
(E) 2
12.    Stephen is planning to take a two-day biking trip during which he will ride 122 miles. The distance he travels on the first day will be 40 miles less than twice the distance he travels on the second day. What is the distance he plans to travel the second day?
(A) 54
(B) 58
(C) 62
(D) 66
(E) 68
13.    In the equation 3x2 – 15x + 18 = 0, what are the possible values of x?
(A) 2 and 3
(B) –2 and –3
(C) –2 and 3
(D) –1 and –3
(E) 1 and –3
14.    Dana walks from home to school at a rate of 5 mph. It takes her 2 hours longer to walk home from school than it did to walk to school. If her total walking time to and from school was 8 hours, what was Dana’s rate of speed walking home from school?
(A) 3 mph
(B) 4 mph
(C) 5 mph
(D) 8 mph
(E) 15 mph
15.    If the function of f(x) = 2x – 3 and g(x) = x2 – 1, what is the function of f(g(3))?
(A) 13
(B) 10
(C) 8
(D) 6
(E) 3
16.    Fifty white-tailed deer in a region are captured and ear-tagged, then released. Six months later, 50 more deer are captured, 35 of which are ear-tagged. Assuming the second group is representative of the deer population as a whole, what is the total population size (rounded to the nearest integer)?
(A) 35
(B) 70
(C) 71
(D) 75
(E) 85
17.    Six years ago, June was twice the age of Sue and 8 years older than Bill. If Bill is now x years old, then in terms of x, what is Sue’s current age?
(A) x + 8
(B)
(C)
(D)
(E)
18.    Simplify

(A)
(B) 8
(C) 9
(D) 89
(E) 990
19.    Dweezle has $3,500 to invest. He places part of the amount in a stock option that yields 5% interest annually and the rest in a savings account that yields 8% interest annually. If Dweezle earns a total of $238 in interest for the year, what was the amount he placed in the savings account? (Interest = Original AmountInterest RateDuration.)
(A) $700
(B) $1,400
(C) $2,100
(D) $2,800
(E) $3,500
20.    The cells of a certain culture of bacteria double every 6 minutes. If there are 3 cells in a petri dish, how many cells of bacteria will there be after one and a half hours?
(A) 16,384
(B) 24,576
(C) 49,152
(D) 98,304
(E) 196,608


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